{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-05-04T15:48:45.283853800Z",
     "start_time": "2024-05-04T15:48:45.278612400Z"
    }
   },
   "outputs": [],
   "source": [
    "# -*- coding:utf-8 -*-\n",
    "# Author:凌逆战 | Never\n",
    "# Date: \n",
    "\"\"\"\n",
    "从时域和频响上 对比周期窗和对称窗的差异\n",
    "\"\"\"\n",
    "import numpy as np\n",
    "from numpy.fft import rfft\n",
    "import scipy.signal as signal\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "window_len = 8\n",
    "hann_sym = signal.windows.hann(window_len, sym=True)  # 对称的hann窗\n",
    "hann_asym = signal.windows.hann(window_len, sym=False)  # 非对称的hann窗\n",
    "\n",
    "# 画散点图\n",
    "plt.figure()\n",
    "plt.title(\"hann_sym vs hann_asym\")\n",
    "plt.scatter(np.arange(len(hann_sym)), hann_sym, label=\"hann_sym\", s=15, c=\"r\")\n",
    "plt.scatter(np.arange(len(hann_asym)), hann_asym, label=\"hann_asym\", s=15, c=\"b\")\n",
    "# 画线\n",
    "plt.plot(hann_sym, label=\"hann_sym\", c=\"r\")\n",
    "plt.plot(hann_asym, label=\"hann_asym\", c=\"b\")\n",
    "\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-04T15:48:45.651885400Z",
     "start_time": "2024-05-04T15:48:45.317575800Z"
    }
   },
   "id": "577c6e1086d0684a",
   "execution_count": 19
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def frequency_response(window, window_len, NFFT):\n",
    "    A = rfft(window, NFFT) / (window_len / 2)  # (513,)\n",
    "    mag = np.abs(A)\n",
    "    freq = np.linspace(0, 0.5, len(A))\n",
    "    # 忽略警告\n",
    "    with np.errstate(divide='ignore', invalid='ignore'):\n",
    "        response = 20 * np.log10(mag)\n",
    "    response = np.clip(response, -150, 150)\n",
    "    return freq, response"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-04T15:48:45.651885400Z",
     "start_time": "2024-05-04T15:48:45.648528700Z"
    }
   },
   "id": "c0b730bda8537a8f",
   "execution_count": 20
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(257,)\n",
      "(257,)\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "freq, hann_sym_FreqResp = frequency_response(hann_sym, window_len, NFFT=512)\n",
    "freq, hann_asym_FreqResp = frequency_response(hann_asym, window_len, NFFT=512)\n",
    "print(freq.shape)\n",
    "print(hann_sym_FreqResp.shape)\n",
    "plt.figure()\n",
    "plt.title(\"Frequency response\")\n",
    "plt.plot(freq, hann_sym_FreqResp, label=\"hann_sym\")\n",
    "plt.plot(freq, hann_asym_FreqResp, label=\"hann_asym\")\n",
    "plt.ylabel(\"Magnitude [dB]\")\n",
    "plt.xlabel(\"Normalized frequency [cycles per sample]\")\n",
    "\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-04T15:48:45.757317900Z",
     "start_time": "2024-05-04T15:48:45.648528700Z"
    }
   },
   "id": "fe30b4fea4947675",
   "execution_count": 21
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-04T15:48:45.757317900Z",
     "start_time": "2024-05-04T15:48:45.750121500Z"
    }
   },
   "id": "8b6d08409b28fe38",
   "execution_count": 21
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
